Linear response for intermittent maps with critical point

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

Linear response for intermittent maps
Polynomial loss of memory for maps of the interval with a neutral fixed point
Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm
On the susceptibility function of piecewise expanding interval maps
Weakly attracting repellors for piecewise convex maps
Recurrence times and rates of mixing
Differentiation of SRB states
Subexponential decay of correlations
On the smooth dependence of SRB measures for partially hyperbolic systems
On differentiability of SRB states for partially hyperbolic systems
Sharp polynomial estimates for the decay of correlations
Loss of memory and moment bounds for nonstationary intermittent dynamical systems
Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters
On the fractional susceptibility function of piecewise expanding maps
Linear response for random dynamical systems
Linear response for a family of self-consistent transfer operators
Quenched linear response for smooth expanding on average cocycles
Linear response for intermittent maps with summable and nonsummable decay of correlations
Decay of correlation for random intermittent maps
The statistical stability of equilibrium states for interval maps
A review of linear response theory for general differentiable dynamical systems
Asymptotic stability of densities for piecewise convex maps
A probabilistic approach to intermittency
Invariant densities for intermittent maps with critical points
Large deviations and central limit theorems for sequential and random systems of intermittent maps
Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems
Pre-threshold fractional susceptibility functions at Misiurewicz parameters
Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics
Linear response, or else
A linear response for dynamical systems with additive noise
Explicit coupling argument for non-uniformly hyperbolic transformations
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type
Maximal large deviations and slow recurrences in weakly chaotic systems
Differentiability of the diffusion coefficient for a family of intermittent maps
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics
Statistical aspects of mean field coupled intermittent maps

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